Change mixed numbers to improper fraction

Change mixed numbers to improper fraction.

1. 8 1 2

2. 3 2 5

3. 5 3 10

4. 7 1 3

5. 9 1 6

The correct answer and explanation is:

To convert mixed numbers to improper fractions, follow these steps:

1. Multiply the whole number by the denominator of the fraction.
2. Add the numerator of the fraction to this result.
3. Write the sum from step 2 over the original denominator.

Let’s apply this to each example:

1. 8 1/2
   • Multiply the whole number (8) by the denominator (2):
     8 × 2 = 16
   • Add the numerator (1) to the result:
     16 + 1 = 17
   • The improper fraction is 17/2.
2. 3 2/5
   • Multiply the whole number (3) by the denominator (5):
     3 × 5 = 15
   • Add the numerator (2) to the result:
     15 + 2 = 17
   • The improper fraction is 17/5.
3. 5 3/10
   • Multiply the whole number (5) by the denominator (10):
     5 × 10 = 50
   • Add the numerator (3) to the result:
     50 + 3 = 53
   • The improper fraction is 53/10.
4. 7 1/3
   • Multiply the whole number (7) by the denominator (3):
     7 × 3 = 21
   • Add the numerator (1) to the result:
     21 + 1 = 22
   • The improper fraction is 22/3.
5. 9 1/6
   • Multiply the whole number (9) by the denominator (6):
     9 × 6 = 54
   • Add the numerator (1) to the result:
     54 + 1 = 55
   • The improper fraction is 55/6.

These steps are useful in various mathematical operations like addition, subtraction, or comparison of fractions, where improper fractions are easier to work with.